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Finding the Fourth Proportional to 116.21, 160.38 and 67.10

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Solution

The fourth proportional to 116.21, 160.38 and 67.10 is: 92.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.21 : 160.38 = 67.10 : x
  2. Step 2: Convert to fraction form
    116.21/160.38 = 67.10/x
  3. Step 3: Cross multiply
    116.21x = 160.38 × 67.10
  4. Step 4: Simplify right side
    116.21x = 10,761.50
  5. Step 5: Solve for x
    x = 10,761.50/116.21
  6. Step 6: Final answer
    x = 92.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.